.ChaoticCircuits.ChaoticOscillator

A simple chaotic oscillator for educational purposes

Information

This is a simple chaotic oscillator for educational purposes as proposed by:

Plot y vs. x, z vs. x and z vs. y.
Default parameter a = 0.85 (i.e. R2 = 9000 Ω) of AnalyticEquations shows periodic results.
Default parameter a = 0.95 (i.e. R2 = 10000 Ω) of IdealCircuit and ImprovedCircuit shows periodic results.
Change parameter a = 0.35 (i.e. R2 = 4000 kΩ) to obtain chaotic results.

Note that initial condition = 0 is sufficient!

A novel, very simple chaotic oscillator is described. It is intended for training laboratories accompanying courses on nonlinear dynamics and chaos for undergraduate, postgraduate and PhD students. The oscillator consists of an operational amplifier, an LCR resonance loop, an extra capacitor, a diode as a nonlinear element and three auxiliary resistors. Chaotic oscillations are demonstrated both experimentally and numerically.

Contents

NameDescription
 AnalyticEquationsA simple chaotic oscillator for educational purposes
 IdealCircuitA simple chaotic oscillator for educational purposes
 ImprovedCircuitA simple chaotic oscillator for educational purposes

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